97259090400 has 108 divisors (see below), whose sum is σ = 342959892912. Its totient is φ = 25935755520.

The previous prime is 97259090359. The next prime is 97259090407. The reversal of 97259090400 is 409095279.

97259090400 is a `hidden beast` number, since 9 + 72 + 5 + 90 + 90 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97259090407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6746904 + ... + 6761303.

It is an arithmetic number, because the mean of its divisors is an integer number (3175554564).

Almost surely, 2^97259090400 is an apocalyptic number.

97259090400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97259090400 is an abundant number, since it is smaller than the sum of its proper divisors (245700802512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97259090400 is a wasteful number, since it uses less digits than its factorization.

97259090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13508233 (or 13508217 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 97259090400 in words is "ninety-seven billion, two hundred fifty-nine million, ninety thousand, four hundred".